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VDI Wissensforum GmbH - International Conference on Gears 2023

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2023

Series: VDI-Berichte

Volume 2422 2023

Results in this title

W. Ramdane, C. Changenet, S. S. Ouali, C. Chevrel-Fraux, P. Casanova Thermal model of a planetary gear set using an isothermal approach S. 451-466

„… or forced convection are taken into account. Then numerical integration is used to estimate …” „… used. This approach assumes that all gearbox’s components have the same temperature. A numerical model …” „… thedetermination of oil temperature during transient regime. Finally, a comparison between numerical and …”

I. Criscuolo, F. Carneiro, G. Guimarães, R. Rego, J. Mascheroni Indirect Selective Laser Sintering: Modeling and analysis of surface densification by shot peening S. 1681-1698

„… explanation to the densification phenomena were based on a numerical approach of the shot peening process. The …” „… and the explanations of the densification phenomena with SP were based on a numerical approach …” „… . The selected element, C3D8R, is a general-purpose linear brick element, with reduced integration (1 …”

A. Beinstingel, F. Haringer, W. Sigmund, M. Heider, B. Pinnekamp, S. Marburg Investigation of Sound and Vibration Behavior of Cylindrical Gears S. 599-618

„… terms of lubrication theory [21]. The numerical solution of the associated Reynold’s equation is carried …” „… suggested by Gumbel [23]. The gear mesh algorithm is established as a nonlinear hybrid analytical-numerical …” „… pair of teeth. The numerical representation is based on the Isogeometric Analysis (IGA) [31] and hence …”

C. Karampatzakis, A. Mihailidis, A. Mantzaflaris, C. Provatidis Contact simulation of tooth flanks using Isogeometric Analysis S. 413-428

„… VDI-Berichte Nr. 2422, 2023 427 [16] Irons, B. M.: Engineering applications of numerical integration in …” „… and enforced at the integration (Gauss) points of the master-worker interface. Not all integration …” „… denotes the integration point belonging to the set of integration points of the worker side (1) within …”

B. Guilbert, D. Dureisseix, P. Velex Hybrid models for the simulation of displacements and stresses in lightweight gears S. 315-328

„… numerical viewpoint, it is found that numerical convergence on gear body stresses at high speeds requires …” „… function is shown in Figure 4-a. The axial dynamic displacement amplitudes obtained by numerical time-step …” „… integration and the recombination of displacements in (2) at the corresponding mesh frequency are represented …”

J. Langhart, S. Ebrahimi, T. Kelichhaus A comparison of time and frequency domain approaches for NVH S. 583-598

„… order differential equations, which are then solved by integration methods using numerical time …” „… with numerical methods. Those methods calculate the response of VDI-Berichte Nr. 2422, 2023 583the …” „… results into 14,000 single integration time step. The CPU time to solve this problem was 15 hours on a …”

S. Sepp, A. Wenig, M. Otto, K. Stahl Acoustical behavior of periodic flank modifications under dynamic operating conditions S. 341-356

„… vector The solution of the general differential equation is solved by a numerical time step integration …” „… separately for each load and speed step by calculating the dynamic conditions in the system using nu-merical …” „… time-step integration. The damping was assumed to be 5 %, which corresponds to typical values found in gear …”

J. D. M. Marafona, J. H. O. Seabra, P. M. T. Marques, R. C. Martins Effect of overlap ratio on gear dynamic behavior and noise level S. 1239-1256

„… the results presented in this work consist on a preliminary numerical analysis of the effect of the …” „… integration algorithm ( = 0.5 and 𝛼 = 0.25); time discretization is the same as for the time-varying mesh …” „… . Considering the numerical simulations performed, it can be concluded that:• Stiffness: increasing the overlap …”

J.-A. Meis Parametric system simulation of load sharing in planetary gearboxes S. 269-280

„… product development. The two main reasons for this are the necessary data and the numerical effort of …” „… in each journal bearing (gained by integration of the pressure distribution) can also be an indicator …”

doi.org/10.51202/9783181024225

Xiao Zhao - Reactor network synthesis with guaranteed robust performance

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Xiao Zhao

Reactor network synthesis with guaranteed robust performance

Series: Verfahrenstechnik

Volume 952 2017

Results in this title

Bibliography S. 158-176

„… Numerical Method of Lines: Integration of Partial Differential Equations. Academic Press, 1991. [152] S …” „… numerical methods for optimizing matrix stability. Linear Algebra and its Applications, 351-352:117–145 …” „… : A MATLAB package for numerical bifurcation analysis of ODEs. ACM TOMS, 29:141–164, 2003. [34] M …”

Introduction S. 1-16

„… AR methods is their integration with other synthesis methods for complete process design [133]. These …” „… method with numerical optimization. Superstructure approach. The superstructure approach for reactor …” „… the reactors is postulated first. Based on the usage of numerical optimization tools, an optimal …”

Solution methods S. 60-106

„… numerical solvers in literature or even the open domain that can solve problems with all these features. In …” „… barrier term, which requires that si,j > 0 during all numerical iterations. In the above formulation, both …” „… application of the SQP method, solving a sequence of subproblems leads to inferior numerical performance …”

Titelei/Inhaltsverzeichnis S. I-XIV

„… , Integration of process and control system design, Superstructure approach, Eigenvalue constraints …” „… the symbols for reviewing different numerical optimization methods shown in Chapter 5 are not …”

doi.org/10.51202/9783186952035

VDI Wissensforum GmbH - International Conference on Gears 2022

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VDI Wissensforum GmbH (ed.)

International Conference on Gears 2022

Series: VDI-Berichte

Volume 2389 2022

Results in this title

A. Beinstingel, M. Heider, B. Pinnekamp, S. Marburg Gear mesh excitation and non-uniform rational B-splines S. 91-102

„… appropriate alternative for numerical modeling speeding up computation time by still maintaining the …” „… numerical technique to compute the excitation behavior of the changing contact conditions during power …” „… stresses occurring during power transmission. Accordingly, the numerical approach of [5] is first tested …”

B. Guilbert, P. Velex Influence of thin rimmed/-webbed gears on transmission dynamic behaviour – Approximate dynamic factor formula S. 523-532

„… figure 3.b. The dynamic factor has been calculated by numerical time integration of the hybrid model …” „… solved by a time-step Newmark’s integration scheme combined with a unilateral contact algorithm verifying …” „… and numerical results in this example with a solid gear. 4. Analysis of the thin –rimmed/-webbed …”

P. Mahendra Rao, S. Foletti, L. Bonaiti, C. Gorla, S. Beretta, F. Concli Mode III threshold under rolling contact fatigue and development of a test gearbox for planet gears S. 499-510

„… mixed approach based on both, numerical simulations and experimental tests is needed. The main goal of …” „… exercise has helped us quantify its effect and extent in our case. Hence, the above numerical results are …” „… . The design solution is envisaged in such a way so that the integration of the test gearbox with the …”

L. Ryali, D. Talbot Dynamic load distribution of planetary gear sets subject to both internal and external excitations S. 389-408

„… . [19] is a three-dimensional multibody body dynamic elastic contact solver that uses a numerical …” „… integration scheme in conjunction with a modified simplex algorithm to simultaneously solve for the load …” „… integration of the flexible shaft formulation and external excitations into the baseline dynamic model. P1P2P3 …”

S. A. Bohme, J. Keski-Rahkonen, T. Komssi A standardizable approach to tooth flank fracture S. 371-388

„… integration ofits planar stresses to a gear-specific set of analytical equations. Both, the lack of model …” „… visualize the proposed analytical equations against an accurate,2D plane strain, numerical stress prediction …” „… . 2389, 2022 375Draftand deviate only in the surface-near region, where the numerical model considers the …”

D. Sackmann, T. Husemann, B. Karpuschewski The effect of a multi-stage grinding process on the barkhausen noise signal S. 695-706

„… was the RMS-value of the Barkhausen noise (BN). For integration of the microstructures influence, a …” „… .; Tiitto, K.: Evaluation of Surface and Subsurface Stresses with Barkhausen Noise: A Numerical Approach. 3 …”

S. Matkovič, M. Kalin Effect of tribological properties on tooth root fatigue failure of polymer gears S. 1257-1268

„… were quadrilateral 4-node bilinear plane stress with reduced integration and hourglass control, named …” „… document [1] K. Mao, A numerical method for polymer composite gear flash temperature prediction, Wear. 262 …”

H.-J. Dennig, L. Zumofen, A. Kirchheim, S. Winterberg, D. Stierli Increasing the safety against scuffing of additive manufactured gear wheels by internal cooling channels S. 1345-1364

„… toolmaking, the integration of internal channel structures enables new opportunities for optimisation [5, 6 …” „… test gears for the FZG scuffing test Dimension Symbol Numerical Value Unit Centre distance a 91.5 mm …”

doi.org/10.51202/9783181023891

Matthias Johannink - Model-based and Experimental Analysis of Transient Electrodialysis Processes

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Matthias Johannink

Model-based and Experimental Analysis of Transient Electrodialysis Processes

Series: Verfahrenstechnik

Volume 949 2016

Results in this title

Bibliography S. 161-177

„… . Balmann, and R. Guardani. Modeling electrodialysis and photochemical process for their integration in …” „… Molecular Modeling, 13(10): 1039 1046, 2007. K. E. Brenan, S. L. Campbell, and L. R. Petzold. Numerical …” „… . Schittkowski, H. Pesch, and K. Sundmacher. Index analysis and numerical solution of a large scale nonlinear …”

Index analysis and reduction of PDAE systems S. 42-65

„… the semi-discretization of the PDAE in the spatial coordinates and the numerical integration of the …” „… main e ort in the numerical treatment of the model is the integration of the semi-discretized and …” „… nitions of index are introduced and evaluated as a concept to support the modeling process, the numerical …”

Concluding remarks S. 134-138

„… explain numerous di culties observed in the context of the numerical solution of ionic mass transfer …” „… and an e cient numerical treatment with standard methods. The detailed transport models developed in …” „… economic performance of industrial ED processes would be the integration of the experiments with the …”

Introduction S. 4-16

„… 1 Introduction This thesis is concerned with the integration of a model-based and experimental …” „… of the dynamic process behavior in transient experiments, as well as the e cient integration of …” „… numerical treatment of the dynamic model with generic methods. However, a major limitation of the method is …”

Spacer geometry and process performance S. 111-133

„… . Section 1.3.1). The integration of the hydrodynamic studies with a rigorous description of the ionic mass …” „… mathematical models and appropriate numerical methods for the integrated description of the complex …” „… transport in the framework of the LBM. Brie y, the LBM corresponds to an e cient numerical scheme for the …”

A dynamic process model of an electrodialysis plant S. 84-110

„… systematically derived in Chapter 4. The speci cation of these models and their integration in the hierarchical …” „… the x3-coordinate is formally obtained by integration of the models and the introduction of …” „… in a commercial modeling environment and does not require tailored numerical methods. By this means …”

doi.org/10.51202/9783186949035

Lars Radtke - A partitioned solution approach for fluid-structure interaction problems in the arterial system

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Lars Radtke

A partitioned solution approach for fluid-structure interaction problems in the arterial system

Series: Mechanik/Bruchmechanik

Volume 353 2020

Results in this title

Numerical investigations S. 153-219

„… 5 Numerical investigations In order to study the applicability of the proposed numerical methods …” „… , the numerical methods are investigated with respect to their performance in cardiovascular FSI …” „… the corresponding numerical methods introduced in Chapter 4 are investigated. The purpose of the …”

Numerical methods S. 69-152

„… 4 Numerical methods In the previous chapter, several models were proposed for the investigation of …” „… of the models have to be solved approximately using numerical methods. In general, the unknown state …” „… building blocks as well as software tools for the data transfer from one 69 4 Numerical methods solver to …”

Bibliography S. 269-288

„… Bibliography [1] L. Achaba, M. Mahfouda, and S. Benhadida. “Numerical study of the non- Newtonian …” „… recirculation”. In: Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics …” „… : Physiological Reviews 91.1 (2011), pp. 327–387. [42] J. Chung and G. M. Hulbert. “Time integration algorithm for …”

Titelei/Inhaltsverzeichnis S. I-X

„… gratitude to my supervisor Prof. Düster. His expertise in a broad range of topics in the field of numerical …” „… . . . . . . . . . . . . . . . . . . . . . 64 V Contents 3.3.7 Hemodynamic quantities . . . . . . . . . . . . . . . . 66 4 Numerical methods 69 …” „… 4.4.4 Field solver manipulation . . . . . . . . . . . . . . . 147 5 Numerical investigations 153 5.1 …”

Mechanical modeling of the arterial system S. 23-68

„… simulation approach for cardiovascular FSI are introduced in this chapter. In the next chapter, numerical …” „… , te] and for all p ∈ [1, 2, . . . , np] 3.1.1 Solution approaches In view of the numerical methods to …” „… letters, while continuous variables or fields are represented using italic letters. The applied numerical …”

Applications S. 220-252

„… constitutes the target application for which the numerical methods in this work were developed. Accordingly …” „… study case can still give an impression of the use of numerical simulations in surgical planning and …” „… terms of the flow, which is evaluated from the velocity by integration over the boundary. The fluid and …”

doi.org/10.51202/9783186353184

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